...9 Let A be a subset of {1, 2, 11} such that |A| = 7. Prove that there exist ï, y ¤ A such that ï ‡ y and x + y = 12.

Q: Find the general solution to y′′+ 16y= sec(4θ) using variation of parameters

A:

Q: Find the absolute minimum and absolute maximum of f(x, y) = 20 - 9x + 11y on the closed triangular…

A:

Q: 3. Find the general solution to y′′−4y′+ 4y= xe2x using the method of undetermined coefficients.

A: The given problem is to find the solution for the given differential equation by using the method of…

Q: Give bases for row(A), col(A), and null(A). 1 1 -8 0 2 1 1 -1 -9 row(A) col (A) null(A) A = ↓ 1

A: Row Space: Non zero rows in the row reduced form is the basis of row space. Column Space: Since the…

Q: The figure shows the level curves of a function f(x, y) around a maximum or a minimum M. One of the…

A:

Q: Determine the solution of the equation using the method of separation of variables. U = Uzz, 00,…

A:

Q: Consider the following piecewise-defined function. f(x) = | −5x − 6 -3x² + x-1 if x -1 Step 1 of 3:…

A:

Q: 12 4 6² I v₁. V1 + x³ Trapezoidal Simpson's graphing utility dx, n = 4 *

A: Given : ∫0241+x3dx   , n=4 To find : (a) Trapezoidal            : (b) Simpson's            : (c)…

Q: Instruction: Apply one decimal place rounding to calculations where applicable. The table time (r.)…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the present value for a $110,000 investment for 11 years at a compounded continuously at 5%.

A:

Q: Question 2 variables Given the function of two -3 f(x, y) = In√(√2+-²³-9) a) function f. b)…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 12…

A:

Q: A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the…

A: Note: “Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 6 Let E be the region above the sphere x² + y² +2²2 = 1, inside the cone z = √x² + y², and below the…

A: The given problem is to convert and write the given triple integral in the spherical coordinates. We…

Q: 18 dx Use partial fraction decomposition to evaluate the integral ſ. (x − 3)² (x² +9)

A:

Q: Given sets A, B, and C, such that |U| = 60, |A| = 25, |B| = 12, |C| = 11, |AB| = 8, |AC| = 5, |BC| =…

A:

Q: 1. Verify that Consider the system of differential equations x₁ (t) = x₂(t) x₂ (t) = x₁(t) + t x₁…

A:

Q: solve the following recurrence equation: t(base n) = 2t(base n-1) + t(base n-2) + 2^(n) t0 = 0…

A:

Q: Consider a part of a graph of a function f: R → R (see the diagram below). We restrict f to various…

A: To see that graph is injective we have to see for different numbers a and b, the values of f(a) and…

Q: Find the maximum and minimum values of f(x, y) = 5x + y on the ellipse x² + 49y² = 1 maximum value:…

A:

Q: What are credit​ scores?

A:

Q: Use both the Shell and Disk Methods to calculate the volume of the solid obtained by rotating the…

A: Given f(x)=2-x3 , 0≤x≤213 a) using disk method ,the volume Dx of the solid obtained by rotating the…

Q: Calculate the integral of ƒ(x, y, z) = 2x² + 2y² + zº over the curve c(t) = (cos t, sin t, t) for 0…

A: To find line integral over the parametric curves

Q: Use graphical method in solving for the linear prog Maximize: Z = 3x + 2y Constraints: 2x + 3y ≤ 12…

A: To Solve: the LPP problem using Graphical method: Maximize z=3x+2y. Constraints:  2x+3y≤12. 2x+y≤8.…

Q: Von Bertalanffy's equation states that the rate of growth in length of an individual fish is…

A:

Q: Find

A:

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: 8.33. State whether the following conclusions are true or false: a. NOT (P(x) OR Q(x)) → (NOT (P(x))…

A:

Q: You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v = 1331. Find the…

A:

Q: Consider the 3 permitations in S.: 2 * = (1 ² 3 4 5 6); ** (123456) 62 2 3 4 " = ( 1 ² ² ± 5 6 )…

A: Given : σ=123456314562 , τ=123456241365, μ=123456524316 To calculate :  a στb στ2c σ2μd τσ2e στσ-1

Q: 3. Write the new equation of the function transformed from y = x³ using the following information:…

A:

Q: f(x)=x² Inx

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: -1 ㅠ A lamina in the first quadrant is bounded by y = sin-¹ x, y = 2, and the coordinate axes. If…

A: Given : A lamina in the first quadrant is bounded by y=sin-1x, y=π2 and the coordinate axes. The…

Q: Find the absolute minimum and absolute maximum of the function f(z,y)=zy - 3y - 9z+27 on the region…

A:

Q: For the polynomial function ƒ(x) = −2x4 + 8x2 − 8, find all local and global extrema. a.No local…

A:

Q: Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an…

A:

Q: For the polynomial function ƒ(x) = x4 − 16x2, find the zeros. Then determine the multiplicity at…

A:

Q: 1) Examine the properties of the following systems, i.e. linear/non-linear, time-…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: Find the general solution to 2y′′−2y′−4y= 2e2t using variation of parameters.

A:

Q: Find power series centered at 7 representing the following function cos(2)

A:

Q: B= - A and - A- The set B- (a) The B-matrix of Tin other words, the matrix of T relative to the…

A:

Q: If A is a rectangular matrix with more columns than rows and for some r.h.s. b, we can find a…

A:

Q: 1. Prove that for all positive integers n, n Σj2i = (n − 1)2n+¹ +2 j=1

A: To prove that,              ∑j=1nj2j=n-12n+1+2.

Q: The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends,…

A:

Q: Find a remainder a) 1989 1990 b) 9100 on 8. . after dividing 1991 1992³ on 7;

A:

Q: Use SIMPLEX method in solving for the linear prog Maximize: Z = 3x + 2y Constraints: 2x + 3y ≤ 12…

A:

Q: Find the volume of a right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1,…

A: To Find the volume of a right pyramid that has a square base in the xy-plane. - 1 ≤ x ≤ 1, -1 ≤ y ≤…

Q: (a) Find a vector parametric equation for the parabola y = x² from the origin to the point (2, 4)…

A:

Q: Suppose F(x, y) = −y sin(x)i + cos(x)}. (a) Find a vector parametric equation for the parabola y =…

A: